{"id":"https://openalex.org/W4312336793","doi":"https://doi.org/10.1109/tfuzz.2022.3218371","title":"Graph-Based Soft-Balanced Fuzzy Clustering","display_name":"Graph-Based Soft-Balanced Fuzzy Clustering","publication_year":2022,"publication_date":"2022-11-04","ids":{"openalex":"https://openalex.org/W4312336793","doi":"https://doi.org/10.1109/tfuzz.2022.3218371"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2022.3218371","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2022.3218371","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048392122","display_name":"Chaodie Liu","orcid":"https://orcid.org/0000-0002-8407-5936"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaodie Liu","raw_affiliation_strings":["School of Computer Science and School of Artificial Intelligence, Optics and Electronics (iOPEN), Northwestern Polytechnical University, Xi'an, China","Key Laboratory of Intelligent Interaction and Applications, Ministry of Industry and Information Technology, Xian, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and School of Artificial Intelligence, Optics and Electronics (iOPEN), Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications, Ministry of Industry and Information Technology, Xian, China","institution_ids":["https://openalex.org/I890469752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003222421","display_name":"Feiping Nie","orcid":"https://orcid.org/0000-0002-0871-6519"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiping Nie","raw_affiliation_strings":["School of Computer Science and School of Artificial Intelligence, Optics and Electronics (iOPEN), Northwestern Polytechnical University, Xi'an, China","Key Laboratory of Intelligent Interaction and Applications, Ministry of Industry and Information Technology, Xian, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and School of Artificial Intelligence, Optics and Electronics (iOPEN), Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications, Ministry of Industry and Information Technology, Xian, China","institution_ids":["https://openalex.org/I890469752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030351224","display_name":"Rong Wang","orcid":"https://orcid.org/0000-0001-9240-6726"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rong Wang","raw_affiliation_strings":["School of Artificial Intelligence, OPtics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi'an, China","Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xian, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, OPtics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xian, China","institution_ids":["https://openalex.org/I17145004","https://openalex.org/I890469752"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106943753","display_name":"Xuelong Li","orcid":"https://orcid.org/0000-0003-2924-946X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I890469752","display_name":"Ministry of Industry and Information Technology","ror":"https://ror.org/0385nmy68","country_code":"CN","type":"government","lineage":["https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuelong Li","raw_affiliation_strings":["School of Artificial Intelligence, OPtics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi'an, China","Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xian, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, OPtics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Interaction and Applications (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xian, China","institution_ids":["https://openalex.org/I17145004","https://openalex.org/I890469752"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048392122"],"corresponding_institution_ids":["https://openalex.org/I17145004","https://openalex.org/I890469752"],"apc_list":null,"apc_paid":null,"fwci":2.7579,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.91693765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"31","issue":"6","first_page":"2044","last_page":"2055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10057","display_name":"Face and Expression Recognition","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.8698800802230835},{"id":"https://openalex.org/keywords/fuzzy-clustering","display_name":"Fuzzy clustering","score":0.7718225121498108},{"id":"https://openalex.org/keywords/correlation-clustering","display_name":"Correlation clustering","score":0.7124918699264526},{"id":"https://openalex.org/keywords/cure-data-clustering-algorithm","display_name":"CURE data clustering algorithm","score":0.6689915657043457},{"id":"https://openalex.org/keywords/interpretability","display_name":"Interpretability","score":0.6024259328842163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.594235360622406},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5777559280395508},{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.5689940452575684},{"id":"https://openalex.org/keywords/constrained-clustering","display_name":"Constrained clustering","score":0.5443780422210693},{"id":"https://openalex.org/keywords/data-stream-clustering","display_name":"Data stream clustering","score":0.532923698425293},{"id":"https://openalex.org/keywords/canopy-clustering-algorithm","display_name":"Canopy clustering algorithm","score":0.5227829813957214},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4942074120044708},{"id":"https://openalex.org/keywords/single-linkage-clustering","display_name":"Single-linkage clustering","score":0.4728434681892395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46910223364830017},{"id":"https://openalex.org/keywords/clustering-high-dimensional-data","display_name":"Clustering high-dimensional data","score":0.45656973123550415},{"id":"https://openalex.org/keywords/flame-clustering","display_name":"FLAME clustering","score":0.4278584420681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37268537282943726}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8698800802230835},{"id":"https://openalex.org/C17212007","wikidata":"https://www.wikidata.org/wiki/Q5511111","display_name":"Fuzzy clustering","level":3,"score":0.7718225121498108},{"id":"https://openalex.org/C94641424","wikidata":"https://www.wikidata.org/wiki/Q5172845","display_name":"Correlation clustering","level":3,"score":0.7124918699264526},{"id":"https://openalex.org/C33704608","wikidata":"https://www.wikidata.org/wiki/Q5014717","display_name":"CURE data clustering algorithm","level":4,"score":0.6689915657043457},{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.6024259328842163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.594235360622406},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5777559280395508},{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.5689940452575684},{"id":"https://openalex.org/C27964816","wikidata":"https://www.wikidata.org/wiki/Q5164359","display_name":"Constrained clustering","level":5,"score":0.5443780422210693},{"id":"https://openalex.org/C193143536","wikidata":"https://www.wikidata.org/wiki/Q5227360","display_name":"Data stream clustering","level":5,"score":0.532923698425293},{"id":"https://openalex.org/C104047586","wikidata":"https://www.wikidata.org/wiki/Q5033439","display_name":"Canopy clustering algorithm","level":4,"score":0.5227829813957214},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4942074120044708},{"id":"https://openalex.org/C22648726","wikidata":"https://www.wikidata.org/wiki/Q7523744","display_name":"Single-linkage clustering","level":5,"score":0.4728434681892395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46910223364830017},{"id":"https://openalex.org/C184509293","wikidata":"https://www.wikidata.org/wiki/Q5136711","display_name":"Clustering high-dimensional data","level":3,"score":0.45656973123550415},{"id":"https://openalex.org/C44859942","wikidata":"https://www.wikidata.org/wiki/Q5426511","display_name":"FLAME clustering","level":5,"score":0.4278584420681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37268537282943726}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2022.3218371","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2022.3218371","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1537487564","display_name":null,"funder_award_id":"61772427","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3280333285","display_name":null,"funder_award_id":"G2019KY0501","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7761990065","display_name":null,"funder_award_id":"61936014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W2283060","https://openalex.org/W62192748","https://openalex.org/W97540112","https://openalex.org/W1500351990","https://openalex.org/W1826417238","https://openalex.org/W1995450389","https://openalex.org/W2010622784","https://openalex.org/W2089609272","https://openalex.org/W2098132613","https://openalex.org/W2107221597","https://openalex.org/W2107887685","https://openalex.org/W2121947440","https://openalex.org/W2125531986","https://openalex.org/W2127218421","https://openalex.org/W2132914434","https://openalex.org/W2332282745","https://openalex.org/W2406581873","https://openalex.org/W2515212212","https://openalex.org/W2574833973","https://openalex.org/W2577472518","https://openalex.org/W2585973110","https://openalex.org/W2598052950","https://openalex.org/W2605170010","https://openalex.org/W2611926148","https://openalex.org/W2749408386","https://openalex.org/W2782735072","https://openalex.org/W2787938067","https://openalex.org/W2800791174","https://openalex.org/W2804847616","https://openalex.org/W2888654602","https://openalex.org/W2893915149","https://openalex.org/W2895548766","https://openalex.org/W2895700599","https://openalex.org/W2896169497","https://openalex.org/W2897689266","https://openalex.org/W2905056852","https://openalex.org/W2932421136","https://openalex.org/W2944238451","https://openalex.org/W2963521811","https://openalex.org/W2963735578","https://openalex.org/W3014016484","https://openalex.org/W3035328911","https://openalex.org/W3036790830","https://openalex.org/W3092472390","https://openalex.org/W3133771674","https://openalex.org/W3152660099","https://openalex.org/W3160787088","https://openalex.org/W3165494599","https://openalex.org/W3179460971","https://openalex.org/W4223525765","https://openalex.org/W4239172561","https://openalex.org/W6629858893","https://openalex.org/W6675776295","https://openalex.org/W6676180653","https://openalex.org/W6678914141","https://openalex.org/W6679435521","https://openalex.org/W6714133674","https://openalex.org/W6731871752","https://openalex.org/W6796366736","https://openalex.org/W6798286705"],"related_works":["https://openalex.org/W2533990316","https://openalex.org/W2965089876","https://openalex.org/W3186815950","https://openalex.org/W2024130340","https://openalex.org/W2142053236","https://openalex.org/W2162311567","https://openalex.org/W2040929534","https://openalex.org/W2202413591","https://openalex.org/W1979089718","https://openalex.org/W323352447"],"abstract_inverted_index":{"Spectral":[0],"clustering":[1,29,43,60,65,96,108,116,149,162,174],"have":[2],"attracted":[3],"more":[4,6],"and":[5,14,49,55,151,167,187,194],"attention":[7],"due":[8],"to":[9,23,51,78,111,128,136,146],"their":[10],"well-defined":[11],"mathematical":[12],"frameworks":[13],"superior":[15],"performance.":[16],"However,":[17],"there":[18],"still":[19],"exist":[20],"two":[21,33],"limitations":[22,169],"be":[24,177],"solved:":[25],"1)":[26],"most":[27],"spectral":[28,59,88],"methods":[30,61],"consist":[31],"of":[32,41,106,115,132,155,170,196],"independent":[34],"stages,":[35],"which":[36,67],"may":[37],"cause":[38],"unpredictable":[39],"deviation":[40],"obtained":[42],"results":[44,150],"from":[45],"the":[46,63,74,103,107,113,124,130,148,153,161,168,171,192,197],"genuine":[47],"ones":[48],"lead":[50],"severe":[52],"information":[53],"loss":[54],"performance":[56],"degradation;":[57],"2)":[58],"employ":[62],"hard":[64],"mode,":[66],"lacks":[68],"interpretability":[69,114],"for":[70,87],"data":[71,134],"points":[72],"in":[73],"boundary":[75],"area":[76],"belonging":[77],"multiple":[79],"clusters.":[80,138,156],"To":[81],"simultaneously":[82],"address":[83],"these":[84],"challenging":[85],"issues":[86],"clustering,":[89],"we":[90,100],"propose":[91],"a":[92,140],"graph-based":[93],"soft-balanced":[94],"fuzzy":[95],"(GBFC)":[97],"model.":[98],"Specifically,":[99],"explicitly":[101],"preserve":[102],"nonnegative":[104],"property":[105],"indicator":[109,126],"matrix":[110,127],"enhance":[112],"results.":[117],"Moreover,":[118],"row":[119],"normalization":[120],"is":[121,144],"imposed":[122],"on":[123,183],"cluster":[125],"show":[129],"membership":[131],"each":[133],"point":[135],"different":[137],"Additionally,":[139],"novel":[141],"balanced":[142],"constraint":[143],"designed":[145],"regularize":[147],"constrain":[152],"size":[154],"We":[157],"can":[158,176],"directly":[159],"obtain":[160],"assignments":[163],"without":[164],"any":[165],"post-processing,":[166],"previous":[172],"two-stage":[173],"framework":[175],"effectively":[178],"addressed.":[179],"Extensive":[180],"experiments":[181],"performed":[182],"both":[184],"synthetic":[185],"datasets":[186,190],"real":[188],"world":[189],"demonstrate":[191],"superiority":[193],"effectiveness":[195],"proposed":[198],"algorithm":[199],"compared":[200],"with":[201],"several":[202],"state-of-the-art":[203],"methods.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}